Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904933 | Advances in Mathematics | 2018 | 36 Pages |
Abstract
In this paper, we are concerned with the third-order equations (1.1) and (1.11) with critical or subcritical nonlinearities. By applying the method of moving planes to the third-order PDEs (1.1) and (1.11), we prove that nonnegative classical solutions u to (1.1) and (1.11) are radially symmetric about some point x0âRn and derive the explicit forms for u in the critical case. We also prove the non-existence of nontrivial nonnegative classical solutions in the subcritical cases (see Theorem 1.1 and Theorem 1.3).
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Wei Dai, Guolin Qin,